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Monotone Semigroups of Operators on Cones*
Canadian Mathematical Bulletin, 1969In this paper we consider a special class of linear operators defined on a cone K in a Banach space X. This class of operators is the natural generalization of a class of operators which has applications in the theory of interpolation spaces. In particular, using the criteria developed in Theorem 1, it is possible to characterize those sequence spaces ...
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Monotone operators on Gödel logic
Archive for Mathematical Logic, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oliver Fasching, Matthias Baaz
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Operator Reverse Monotonicity of the Inverse
The American Mathematical Monthly, 2011AbstractIn statistics and econometrics, the equivalence between matrix inequalities A ≥ B ⇔ B−1 ≥ A−1 is used to obtain a lower bound on the variance matrix, where A, B are symmetric and positive definite. The same property holds for linear operators on Hilbert spaces that are bijective, self-adjoint, and positive definite.
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A Characterization of Maximal Monotone Operators
Set-Valued Analysis, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Degree for Operators of Monotone Type
Mathematische Nachrichten, 1983The degreee of operators between such Banach spaces that form a dual system in the sense of Schaefer is defined, under a weak continuity hypothesis. The usual properties of the degree are derived for operators of monotone type and it is computed for coercive and monotone mappings.
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Monotone perturbations of maximal monotone operators
Nonlinear Analysis: Theory, Methods & Applications, 1979openaire +2 more sources
H-Monotone operator and resolvent operator technique for variational inclusions
Applied Mathematics and Computation, 2003Ya Ping Fang, Nan-Jing Huang
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